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4 years ago

X varies inversely as y^2, and x = 4 when y = 10. Find x when y = 2.

1 answer:

3 0

X = k/y^2 is the equation for this statement
substitute the values for the first x and y to find k, the constant of variation.
4 = k/10^2
4 = k/100 Multiply by 100 to clear the fraction
400 = k
Now substitute the k back in and make a new equation that will find any value of x that fits this scenario
x = 400/y^2
x = 400/4
x = 100

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He measured the diameter to be 10.06 feet. What is the approximate area of the center circle on the basketball court?

Hitman42 [59]

Answer:

79.49

Step-by-step explanation:

A=πr²

r=½ of d= 5.03

A= π•5.03²= 79.49

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3 years ago

Eddie, 37 year old male, bought a $70,000, 20 year life insurance policy through his employer. Eddie is paid biweekly. How much

Tatiana [17]

Answer:

(c) 27.81

Step-by-step explanation:

We have been given a table that represents the amount of annual premium of ABC term life insurance company.

Since Eddie is 37 year old male and he bought a 20 year life insurance life policy, so the annual premium charged per $1000 of coverage will be $10.33.

Let us find the total annual premium by multiplying $10.33 by 70 as he bought a $70,000 policy.

$\text{The annual premium paid by Eddie}=\$10.33\times 70$

$\text{The annual premium paid by Eddie}=\$323.18$

Since biweekly means 26 times per year, so we will divide the annual premium by 26 to find the amount deducted from each of his paychecks.

$\text{The amount deducted from each of Eddie's paychecks for life insurance}=\frac{\$323.18}{26}$

$\text{The amount deducted from each of Eddie's paychecks for life insurance}=\$27.81461538\approx \$27.81$

Therefore, am amount of $27.81 is deducted from each of his paychecks for life insurance and option c is the correct choice.

5 0

3 years ago

Read 2 more answers

As part of a promotion for a new type of cracker, free trial samples are offered to shoppers in a local supermarket. The probabi

nordsb [41]

Answer: N(20, 4) distribution.

Step-by-step explanation:

Normal approximation to Binomial :

The normal approximation is used for binomial distribution having parameters n and p as

$\mu=np\\\\ \sigma=\sqrt{np(1-p)}$

if x is the random variable then x has $N(\mu, \sigma)$ .

Given : As part of a promotion for a new type of cracker, free trial samples are offered to shoppers in a local supermarket.

The probability that a shopper will buy a packet of crackers after tasting the free sample : p=0.20.

Different shoppers can be regarded as independent trials.

if X is the number among the next 100 shoppers who buy a packet of crackers after tasting a free sample.

Then, Mean and standard deviation for x will be :

$\mu=(100)(0.20)=20\\\\ \sigma=\sqrt{20(1-0.20)}=\sqrt{16}=4$

i.e. X has approximately an N(20, 4) distribution.

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3 years ago

Which of the following are true if you pay only the minimum amount each month towards your credit card bill? AYou will be charge

faust18 [17]

Answer:

A- You will be charged interest on your remaining balance.

C- You may be in debt for a long time.

Step-by-step explanation:

The following are true if you pay only the minimum amount each month towards your credit card bill:

Firstly one will be charged interest on the remaining amount. Suppose you had a bill of $500. But you paid the minimum of $100. So, you will be charged your standard interest rate on $400.

And with this format, one will be in a debt for a long time as each month some new balance will be added to the previous one.

So, options A and C are true.

B is not true as the interest rates are not changed during the cycle.

8 0

3 years ago

Read 2 more answers

A school survey found that 24 out of 30 students prefer chocolate milk to white milk. If the school has 500 students, which is t

Georgia [21]

Answer:

Around 401 students would prefer chocolate milk.

Step-by-step explanation:

500/30=16.66667...

24*16.7=400.8

you cant have an eighth of a vote so you round to 401

4 0

3 years ago